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Finding the Fourth Proportional to 5,657.02, 7,804.54 and 4,168.49

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Solution

The fourth proportional to 5,657.02, 7,804.54 and 4,168.49 is: 5,750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.02 : 7,804.54 = 4,168.49 : x
  2. Step 2: Convert to fraction form
    5,657.02/7,804.54 = 4,168.49/x
  3. Step 3: Cross multiply
    5,657.02x = 7,804.54 × 4,168.49
  4. Step 4: Simplify right side
    5,657.02x = 32,533,113.13
  5. Step 5: Solve for x
    x = 32,533,113.13/5,657.02
  6. Step 6: Final answer
    x = 5,750.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.